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How do you convert degrees to radians?

User ViKiG
by
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1 Answer

5 votes

One degree is equal 0.01745329252 radians:

1° = π/180° = 0.005555556π = 0.01745329252 rad

The angle α in radians is equal to the angle α in degrees times pi constant divided by 180 degrees:

α(radians) = α(degrees) × π / 180°

or

radians = degrees × π / 180°

Example

Convert 30 degrees angle to radians:

α(radians) = α(degrees) × π / 180° = 30° × 3.1459 / 180° = 0.5236 rad

Degrees to radians in terms of pi

The angle α in radians is equal to the angle α in degrees times pi constant divided by 180 degrees:

α(radians) = (α(degrees) / 180°) × π

Example

Convert 30 degrees angle to radians in terms of pi:

α(radians) = (α(degrees) / 180°) × π = (30° / 180°) × π

= (1/6) × π = π/6 rad = 0.166667π rad

User Robin Manoli
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